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Finding the Third Proportional to 633,918 and 863,397

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Solution

The third proportional to 633,918 and 863,397 is: 1,175,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,918 : 863,397 = 863,397 : x
  2. Step 2: Convert to fraction form
    633,918/863,397 = 863,397/x
  3. Step 3: Cross multiply
    633,918x = 863,397 × 863,397
  4. Step 4: Simplify right side
    633,918x = 745,454,379,609
  5. Step 5: Solve for x
    x = 745,454,379,609/633,918
  6. Step 6: Final answer
    x = 1,175,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.